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4248411089280 = 27352701181919
BaseRepresentation
bin111101110100101001000…
…010001010100110000000
3120001010220001222112022020
4331310221002022212000
51024101221214324110
613011405413441440
7615636405300111
oct75645102124600
916033801875266
104248411089280
111398817338766
12587454340280
1324a814935167
141098a4b06208
157579e565d70
hex3dd2908a980

4248411089280 has 128 divisors (see below), whose sum is σ = 13542477004800. Its totient is φ = 1132853852160.

The previous prime is 4248411089249. The next prime is 4248411089297. The reversal of 4248411089280 is 829801148424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42484110892802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51820161 + ... + 51902079.

It is an arithmetic number, because the mean of its divisors is an integer number (105800601600).

Almost surely, 24248411089280 is an apocalyptic number.

4248411089280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4248411089280 is an abundant number, since it is smaller than the sum of its proper divisors (9294065915520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4248411089280 is a wasteful number, since it uses less digits than its factorization.

4248411089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108952 (or 108940 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 4248411089280 in words is "four trillion, two hundred forty-eight billion, four hundred eleven million, eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 27011 54022 81033 81919 108044 135055 162066 163838 216088 245757 270110 324132 327676 405165 409595 432176 491514 540220 648264 655352 810330 819190 864352 983028 1080440 1228785 1296528 1310704 1620660 1638380 1728704 1966056 2160880 2457570 2593056 2621408 3241320 3276760 3457408 3932112 4321760 4915140 5186112 5242816 6482640 6553520 7864224 8643520 9830280 10372224 10485632 12965280 13107040 15728448 17287040 19660560 25930560 26214080 31456896 39321120 51861120 52428160 78642240 157284480 2212714109 4425428218 6638142327 8850856436 11063570545 13276284654 17701712872 22127141090 26552569308 33190711635 35403425744 44254282180 53105138616 66381423270 70806851488 88508564360 106210277232 132762846540 141613702976 177017128720 212420554464 265525693080 283227405952 354034257440 424841108928 531051386160 708068514880 849682217856 1062102772320 1416137029760 2124205544640 4248411089280